Question

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.



Ralph's age is _____.

Answer 1

Answer:18

Step-by-step explanation:

Let:

x=age of Sara

3x=age of Ralph

after 6 years:

x+6=age of Sara

3x+6=age of Ralph, where he will be twice as old as Sara

so that:

3x+6=2(x+6)

3x+6=2x+12

3x-2x=12-6

x=6

Therefore:

x

=

6

=age of Sara

3

x

=

3

(

6

)

=

18

=age of Ralph